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Finding the Fourth Proportional to 14,984.56, 20,675.92 and 9,607.95

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Solution

The fourth proportional to 14,984.56, 20,675.92 and 9,607.95 is: 13,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984.56 : 20,675.92 = 9,607.95 : x
  2. Step 2: Convert to fraction form
    14,984.56/20,675.92 = 9,607.95/x
  3. Step 3: Cross multiply
    14,984.56x = 20,675.92 × 9,607.95
  4. Step 4: Simplify right side
    14,984.56x = 198,653,300.30
  5. Step 5: Solve for x
    x = 198,653,300.30/14,984.56
  6. Step 6: Final answer
    x = 13,257.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.